## Chebyshev Constants

N.B. A detailed on-line essay by S. Finch was the starting point for this entry.

The constants

where

and are th and th order Polynomials, and is the set all Rational Functions with Real coefficients.

References

Finch, S. Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/onenin/onenin.html

Petrushev, P. P. and Popov, V. A. Rational Approximation of Real Functions. New York: Cambridge University Press, 1987.

Varga, R. S. Scientific Computations on Mathematical Problems and Conjectures. Philadelphia, PA: SIAM, 1990.